Fill in the blanks to make the statements true.

According to the law of indices:

(a^m)ⁿ = a^{(m × n)}

Applying the same law here,

In the above question,

a = 6/13

m = 5

n = 2

∴ m × n = 5 × 2

= 10

[(6/13)⁵]² = (6/13)¹⁰

Again we have another law of indices which is as follows:

a^m ÷ aⁿ = a ^(m-n)

Here in the question,

a = 6/13

m = 10

n = 10

∴ m – n = 10 - 10

= 0

(6/13)¹⁰ ÷ (6/13)¹⁰ = (6/13)⁰